100122101021021 has 2 divisors, whose sum is σ = 100122101021022. Its totient is φ = 100122101021020.

The previous prime is 100122101020951. The next prime is 100122101021027. The reversal of 100122101021021 is 120120101221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53764236408100 + 46357864612921 = 7332410^2 + 6808661^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122101021021 - 2¹⁴ = 100122101004637 is a prime.

It is a super-2 number, since 2×100122101021021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122101020987 and 100122101021005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122101021027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050510510 + 50061050510511.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050510511).

Almost surely, 2^{100122101021021} is an apocalyptic number.

It is an amenable number.

100122101021021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122101021021 is an equidigital number, since it uses as much as digits as its factorization.

100122101021021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122101021021 its reverse (120120101221001), we get a palindrome (220242202242022).

The spelling of 100122101021021 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, twenty-one thousand, twenty-one".